Pith Number

pith:TRNNPKH2

pith:2010:TRNNPKH2SOLH6MUDATTN2WQHXZ

not attested not anchored not stored refs pending

Computing sparse multiples of polynomials

Daniel S. Roche, Hrushikesh Tilak, Mark Giesbrecht

arxiv:1009.3214 v2 · 2010-09-16 · cs.SC · cs.CC · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TRNNPKH2SOLH6MUDATTN2WQHXZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:32:11.627005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c5ad7a8fa93967f328304e6dd5a07be6e0aa1173b5081ac6950d8b669e178d2

Aliases

arxiv: 1009.3214 · arxiv_version: 1009.3214v2 · doi: 10.48550/arxiv.1009.3214 · pith_short_12: TRNNPKH2SOLH · pith_short_16: TRNNPKH2SOLH6MUD · pith_short_8: TRNNPKH2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TRNNPKH2SOLH6MUDATTN2WQHXZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9c5ad7a8fa93967f328304e6dd5a07be6e0aa1173b5081ac6950d8b669e178d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27b39507857c68645ddda6f4cf253172e38a05c287f7f2bce7858342796750c8",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2010-09-16T16:21:15Z",
    "title_canon_sha256": "13417a3950004ee8a17ca1c995434cc380fcee7f5105eca99529184117571204"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3214",
    "kind": "arxiv",
    "version": 2
  }
}